let x, y, z be set ; :: thesis: ( [<*x,y*>,xor2c ] in InnerVertices (GFA2AdderStr x,y,z) & GFA2AdderOutput x,y,z in InnerVertices (GFA2AdderStr x,y,z) )
set S1 = GFA1AdderStr x,y,z;
GFA2AdderStr x,y,z = GFA1AdderStr x,y,z ;
hence ( [<*x,y*>,xor2c ] in InnerVertices (GFA2AdderStr x,y,z) & GFA2AdderOutput x,y,z in InnerVertices (GFA2AdderStr x,y,z) ) by Th68; :: thesis: verum